CN111209676B - Dynamic grinding force measuring method for grinding device - Google Patents
Dynamic grinding force measuring method for grinding device Download PDFInfo
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- CN111209676B CN111209676B CN202010026018.4A CN202010026018A CN111209676B CN 111209676 B CN111209676 B CN 111209676B CN 202010026018 A CN202010026018 A CN 202010026018A CN 111209676 B CN111209676 B CN 111209676B
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- 238000000034 method Methods 0.000 title claims abstract description 11
- 230000008878 coupling Effects 0.000 claims abstract description 47
- 238000010168 coupling process Methods 0.000 claims abstract description 47
- 238000005859 coupling reaction Methods 0.000 claims abstract description 47
- 230000001133 acceleration Effects 0.000 claims description 22
- 230000005484 gravity Effects 0.000 claims description 3
- 238000010276 construction Methods 0.000 claims description 2
- 230000004069 differentiation Effects 0.000 claims 1
- 238000005259 measurement Methods 0.000 abstract description 9
- 238000005498 polishing Methods 0.000 description 5
- 238000010586 diagram Methods 0.000 description 3
- 230000007547 defect Effects 0.000 description 2
- 229910001018 Cast iron Inorganic materials 0.000 description 1
- 229910001208 Crucible steel Inorganic materials 0.000 description 1
- 229910052782 aluminium Inorganic materials 0.000 description 1
- XAGFODPZIPBFFR-UHFFFAOYSA-N aluminium Chemical compound [Al] XAGFODPZIPBFFR-UHFFFAOYSA-N 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005266 casting Methods 0.000 description 1
- 238000007906 compression Methods 0.000 description 1
- 238000005520 cutting process Methods 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 239000012212 insulator Substances 0.000 description 1
- 238000002955 isolation Methods 0.000 description 1
- 238000003754 machining Methods 0.000 description 1
- 238000000691 measurement method Methods 0.000 description 1
- 239000007769 metal material Substances 0.000 description 1
- 230000000149 penetrating effect Effects 0.000 description 1
- 238000003466 welding Methods 0.000 description 1
- 210000003857 wrist joint Anatomy 0.000 description 1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B41/00—Component parts such as frames, beds, carriages, headstocks
- B24B41/04—Headstocks; Working-spindles; Features relating thereto
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B49/00—Measuring or gauging equipment for controlling the feed movement of the grinding tool or work; Arrangements of indicating or measuring equipment, e.g. for indicating the start of the grinding operation
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Constituent Portions Of Griding Lathes, Driving, Sensing And Control (AREA)
Abstract
The invention discloses a dynamic grinding force measuring method for a grinding device, which comprises the steps of firstly determining an isolated body needing to be subjected to mechanical analysis according to the stress condition of a workpiece during grinding, secondly analyzing the contact force between the tail end of a grinding tool and the workpiece, secondly analyzing the stress of a pressure-torsion coupling sensor, and finally establishing a mechanical model during grinding of the workpiece to solve target force and moment. The invention can carry out direct measurement, has high speed, high precision, low price and universality.
Description
Technical Field
The invention relates to the technical field of measurement of dynamic contact force and contact torque, in particular to a dynamic grinding force measuring method for a grinding device.
Background
Grinding is an essential step in the machining of parts. For example, burrs and gates existing after processing of castings (cast iron, cast aluminum, cast steel and the like) need to be polished, burrs existing in parts machined by lathes need to be polished, and welding gaps of metal materials also need to be polished.
There are currently two modes of sanding: firstly, traditional manual grinding: the polishing quality is uneven, time and labor are consumed, the working condition is poor, and safety accidents are easy to happen; secondly, polishing by automatic equipment: the grinding quality is independently controllable, the efficiency is high, and the cost is low. Therefore, the grinding mode of the automatic equipment can comprehensively replace the traditional manual grinding mode.
When the automatic equipment is used for polishing, in order to ensure the grinding quality of the surface of a workpiece, a grinding tool of the automatic equipment is often required to be controlled to be in constant-force contact with the surface of the workpiece, and the measurement of the contact force of the grinding tool and the surface of the workpiece is a precondition for constant-force control.
The automated equipment currently used for polishing is divided into two categories: firstly, special automatic polishing equipment is used; and II, an industrial robot. For the special automatic grinding equipment, a dynamic torque sensor is arranged on a grinding motor shaft with a grinding tool to measure the contact torque between a grinding head and the surface of a workpiece, and the main defects of the mode are as follows: the dynamic torque sensor is expensive, complex in structure, inconvenient to install, difficult to maintain, not suitable for small-range measurement and only can be used for torque measurement; for an industrial robot, the contact force and the contact moment of the grinding tool and the surface of a workpiece are calculated according to the joint pose of the robot and the measurement value of a six-axis force sensor arranged on a wrist joint of the robot, and the method has the main defects that: the calculation process is complex, the calculated data amount is large, an indirect measurement method is adopted, the measurement precision cannot be guaranteed, and the six-axis force sensor is expensive.
Disclosure of Invention
In view of the above problems, an object of the present invention is to provide a dynamic grinding force measuring method for a grinding device, which can perform direct measurement, and has the advantages of high speed, high precision, low cost, and universality. The technical scheme is as follows:
a dynamic grinding force measuring method for a grinding apparatus, comprising the steps of:
step 1: determining an isolated body:
a grinding motor shaft of a grinding motor penetrates through a double-flange pressure-torsion coupling sensor and is fixedly connected with a grinding tool through a coupler, a left flange plate of the double-flange pressure-torsion coupling sensor is fixed on an installation plate, and a right flange plate of the double-flange pressure-torsion coupling sensor is fixed on the grinding motor; taking a grinding tool, a coupler, a grinding motor shaft, a grinding motor and a double-flange pressure-torsion coupling sensor as isolating bodies;
step 2: establishing a mechanical model, and carrying out mechanical analysis:
establishing a coordinate system by taking the central axis of the grinding motor shaft as an X axis and the surface of the workpiece as a YOZ plane; then:
the contact forces and moments applied by the workpiece surface to the grinding tool face include: equivalent normal force F along the X-axis of the coordinate systemaEquivalent tangential force F along the Y-axis of the coordinate systemcEquivalent tangential force F along the Z-axis of the coordinate systemnAnd an equivalent grinding torque T about the X-axis of the coordinate system; wherein Fa、FcAnd FnOf the line of action intersecting the grinding toolThe geometric center A of the left end face;
the contact force and moment applied to the end face of the left flange plate of the double-flange pressure-torsion coupling sensor by the mounting plate comprise: equivalent force F along the direction of X, Y, Z coordinate axesx、Fy、FzAnd an equivalent moment M about the X, Y, Z axisx,My,Mz;Fx、Fy、FzAnd Mx,My,MzThe equivalent action point of the double-flange pressure-torsion coupling sensor is a point B in the center of the end face of the left flange plate of the double-flange pressure-torsion coupling sensor;
the action point of the gravity G borne by the isolating body is a point C, and the action point A, B is collinear with the point C and coaxial with the grinding motor shaft;
and step 3: construction of a kinetic equilibrium equation
F measured by a double-flange pressure-torsion coupling sensor according to the Dalnbell principlexAnd MxThe grinding tool comprises not only the contact force and moment of the grinding tool and the surface of the workpiece, but also the inertia force and moment, and the mechanical balance equation is as follows:
in the formula: t is the equivalent moment around the X axis of the geometric center A point of the left end surface of the grinding tool acted on the surface of the workpiece; ma is the inertial force of the isolator in the X-axis direction of the coordinate system, wherein m is the total mass of the isolator, and a is the acceleration of the isolator in the X-axis direction of the coordinate system; i epsilon is the integral inertia moment consisting of three parts of the grinding tool, the coupling and the grinding motor shaft, wherein I is the equivalent rotational inertia of the three parts of the grinding tool, the coupling and the grinding motor shaft, and epsilon is the angular acceleration of the three parts of the grinding tool, the coupling and the grinding motor shaft;
and 4, step 4: calculating a target force and a target moment:
under the condition of no load, the isolating body and the mounting plate are moved together along the X-axis direction of the coordinate system at a given acceleration a, and the equivalent force F in the X-axis direction is directly read by the double-flange pressure-torsion coupling sensorx(ii) a At this time, along the X-axis of the coordinate systemEffective normal force FaWhen 0, the total mass of the separator is:
meanwhile, the equivalent moment M around the X coordinate axis direction is directly read through a double-flange pressure-torsion coupling sensorxMeasuring the rotating speed of the grinding motor, and carrying out differential calculation to obtain an angular acceleration epsilon; under the condition of no load, the equivalent grinding torque T around the X axis of the coordinate system is 0, and then the equivalent inertia moments of the grinding tool, the coupling and the grinding motor shaft are as follows:
during grinding operation, the current acceleration a is calculated by measuring the speed of the isolator and the mounting plate moving along the X-axis direction of the coordinate system, and then combined with FxAnd the total mass m of the separator, to obtain a target force:
Fa=-Fx-ma
the current angular acceleration epsilon is calculated by measuring the rotating speed of the grinding motor and differentiating and is combined with MxAnd the angular acceleration epsilon, the target moment is obtained:
T=-Mx-Iε。
the invention has the beneficial effects that: according to the stress condition of a workpiece during grinding, firstly, an isolator needing to be subjected to mechanical analysis is determined, secondly, the contact force between the tail end of a grinding tool and the workpiece is analyzed, secondly, the stress of a pressure-torsion coupling sensor is analyzed, and finally, a mechanical model during grinding of the workpiece is established to solve a target force and a torque; can be directly measured, and has the advantages of high speed, high precision, low price and universality.
Drawings
FIG. 1 is a block diagram of the system of the present invention.
Fig. 2 is a schematic structural diagram of a double-flange pressure-torsion coupled sensor.
FIG. 3 is a force model.
In the figure: 1-a grinding tool; 2-a coupler; 3-grinding the motor shaft; 4-mounting a plate; 5-double flange pressure-torsion coupling sensor; 6-grinding the motor.
Detailed Description
The invention is described in further detail below with reference to the figures and specific embodiments.
FIG. 1 is a system block diagram in which: 1 grinding a tool; 2, coupling; 3, grinding the motor shaft; 4, mounting a plate; 5, a double-flange pressure-torsion coupling sensor; 6 grinding the motor. Fig. 2 is a perspective view of a double-flange pressure-torsion coupled sensor.
The double-flange pressure-torsion coupling sensor 5 is composed of a left flange, a right flange and a middle elastic body, four bolt holes are respectively formed in the left flange and the right flange, and a through hole penetrating along the axial direction is formed in the geometric centers of the flanges and the elastic body and used for enabling the grinding motor shaft 3 to penetrate through. The left flange plate of the double-flange pressure-torsion coupling sensor 5 is arranged on the mounting plate 4, the grinding motor 6 is arranged on the right flange plate of the double-flange pressure-torsion coupling sensor 5, and the grinding motor shaft 3 penetrates through a through hole of the torsion coupling sensor 5 and then is connected with a grinding tool through the coupler 2.
Establishing a mechanical model:
description of the working process: the grinding motor 6 drives the grinding tool 1 to rotate at a high speed through the coupler 2, the grinding motor is in contact with the surface of a workpiece on the Y0Z plane to carry out grinding operation, the grinding tool 1 can translate along the X axis, the grinding contact force and moment of the grinding tool 1 and the surface of the workpiece are adjusted, and the pressure-torsion coupling sensor measures the contact force and moment of the grinding tool 1 and the surface of the workpiece in real time. And simultaneously measuring the rotating speed of the motor to obtain the inertia force and moment generated by the isolator in the moving process, establishing a dynamic balance equation according to the Dalnbell principle, solving to obtain the contact force and moment of the grinding tool 1 and the surface of the workpiece, and finally controlling the whole consisting of the grinding tool 1, the coupler 2, the grinding motor shaft 3, the mounting plate 4, the double-flange pressure-torsion coupling sensor 5 and the grinding motor 6 to reciprocate along the X axis according to the contact force and the contact moment obtained by the solution, so that the constant-force grinding is realized by the constant-force contact of the grinding tool and the surface of the workpiece.
Step 1: determining an insulator
The grinding tool 1, the coupler 2, the grinding motor shaft 3, the grinding motor 6 and the double-flange pressure-torsion coupling sensor 5 can be used as isolation bodies for mechanical analysis.
Step 2: mechanical analysis
The forces and moments experienced by the isolator are from three aspects: firstly, gravity; secondly, the contact force and moment applied to the end face of the grinding tool 1 by the surface of the workpiece; and thirdly, applying the contact force and moment on the end face of the left flange of the double-flange pressure-torsion coupling sensor 5 by the mounting plate 4.
1) The contact forces and moments exerted by the workpiece surface on the end face of the grinding tool 1 include: equivalent normal force Fa(along the X-axis of the coordinate system), equivalent tangential force Fc(along the Y axis of the coordinate system), equivalent tangential force Fn(along the Z axis of the coordinate system), equivalent grinding torque T (about the X axis of the coordinate system). Wherein Fa、FcAnd FnIntersects the geometric centre point a of the left end face of the grinding tool 1.
2) The contact force and moment applied to the end face of the left flange of the double-flange pressure-torsion coupling sensor 5 by the mounting plate 4 comprise: the equivalent forces Fx, Fy, Fz in the direction of the X, Y, Z coordinate axis and the equivalent moments Mx, My, Mz about the X, Y, Z coordinate axis. It should be noted that the equivalent action point of Fx, Fy, Fz and Mx, My, Mz is the center B of the left flange end face of the double-flange pressure-torsion coupled sensor 5, and the action object is not the grinding motor shaft 3.
3) The points of action A, B and C are collinear and coaxial with the grinding motor shaft 3.
And step 3: establishing a dynamic equilibrium equation
F measured by the double-flange pressure-torsion coupling sensor 5 according to the Dalnbell principlexAnd MxNot only contains the contact force and moment of the grinding tool 1 and the surface of the workpiece, but also contains the inertia force and moment, and the mechanical balance equation is as follows:
wherein: t is the equivalent moment around the X axis of the workpiece surface acting on the geometric center A point of the left end surface of the grinding tool 1; ma is an inertial force of the separator in the X-axis direction of the coordinate system, where m is a total mass of the separator and a is an acceleration of the separator in the X-axis direction of the coordinate system; i epsilon is the integral inertia moment formed by the three parts of the grinding tool 1, the coupling 2 and the grinding motor shaft 3, wherein I is the equivalent moment of inertia of the three parts of the grinding tool 1, the coupling 2 and the grinding motor shaft 3, and epsilon is the angular acceleration of the three parts of the grinding tool 1, the coupling 2 and the grinding motor shaft 3.
And 4, step 4: solving of mechanical equilibrium equations
The double-flange pressure-torsion coupling sensor 5 only measures FxAnd MxTherefore, the target force F can be obtained by solving the following two equationsaAnd target moment Mx:
(1)FxWhich can be read directly by the double-flange torque-compression coupling sensor 5, m can be calculated under no load (i.e. no grinding task, no contact of the grinding tool 1 with the workpiece surface for idle running), as follows: under no load condition FaGiven an acceleration a (i.e. moving the isolator and mounting plate 4 together at a constant acceleration in the direction of the X-axis of the coordinate system) of 0, the equation is passed
M can be calculated. m is known, the acceleration a can be calculated differentially by measuring the speed of the movement of the isolator and the mounting plate 4 along the X-axis of the coordinate system, and then F is combinedxFrom the measured values of (A), F is obtaineda。
(2)MxCan be directly read by the double-flange pressure-torsion coupling sensor 5, the angular acceleration epsilon can be obtained by differentiating after measuring the rotating speed of the grinding motor 6 (containing a Hall sensor), and the rotational inertia I can be obtained without load (i.e. without grinding)The cutting work task, the grinding tool 1 idles without contacting the surface of the workpiece), as follows: under no load condition, T is 0, the angular acceleration epsilon can be obtained by measurement and calculation, MxIs known, therefore, by the formula
The moment of inertia I can be calculated.
When I is known, M can be measured and calculatedxAnd the angular acceleration epsilon to obtain T.
Claims (1)
1. A dynamic grinding force measuring method for a grinding apparatus, characterized by comprising the steps of:
step 1: determining an isolated body:
a grinding motor shaft (3) of a grinding motor (6) penetrates through a double-flange pressure-torsion coupling sensor (5) and is fixedly connected with a grinding tool (1) through a coupler (2), a left flange plate of the double-flange pressure-torsion coupling sensor (5) is fixed on a mounting plate (4), and a right flange plate is fixed on the grinding motor (6); taking a grinding tool (1), a coupler (2), a grinding motor shaft (3), a grinding motor (6) and a double-flange pressure-torsion coupling sensor (5) as isolating bodies;
step 2: establishing a mechanical model, and carrying out mechanical analysis:
establishing a coordinate system by taking the central axis of the grinding motor shaft (3) as an X axis and the surface of the workpiece as a YOZ plane; then:
the contact forces and moments exerted by the workpiece surface on the end face of the grinding tool (1) comprise: equivalent normal force F along the X-axis of the coordinate systemaEquivalent tangential force F along the Y-axis of the coordinate systemcEquivalent tangential force F along the Z-axis of the coordinate systemnAnd an equivalent grinding torque T about the X-axis of the coordinate system; wherein Fa、FcAnd FnThe action line of (2) intersects at the geometrical center A point of the left end surface of the grinding tool (1);
the contact force and moment applied to the end face of the left flange of the double-flange pressure-torsion coupling sensor (5) by the mounting plate (4) comprise: edge X, Y, ZEquivalent force F in coordinate axis directionx、Fy、FzAnd an equivalent moment M about the X, Y, Z axisx,My,Mz;Fx、Fy、FzAnd Mx,My,MzThe equivalent action point of the sensor is a point B in the center of the end face of the left flange of the double-flange pressure-torsion coupling sensor (5);
the action point of the gravity G borne by the isolating body is a point C, and the action point A, B is collinear with the point C and coaxial with the grinding motor shaft (3);
and step 3: construction of a kinetic equilibrium equation
F measured by a double-flange pressure-torsion coupling sensor (5) according to the Dalnbell principlexAnd MxThe grinding tool comprises not only the contact force and moment of the grinding tool (1) and the surface of the workpiece, but also the inertia force and moment, and the mechanical balance equation is as follows:
in the formula: t is the equivalent moment around the X axis of the geometric center A point of the left end surface of the grinding tool (1) acted on the surface of the workpiece;
ma is the inertial force of the isolator in the X-axis direction of the coordinate system, wherein m is the total mass of the isolator, and a is the acceleration of the isolator in the X-axis direction of the coordinate system; i epsilon is the integral inertia moment consisting of the grinding tool (1), the coupling (2) and the grinding motor shaft (3), wherein I is the equivalent moment of inertia of the grinding tool (1), the coupling (2) and the grinding motor shaft (3), and epsilon is the angular acceleration of the grinding tool (1), the coupling (2) and the grinding motor shaft (3);
and 4, step 4: calculating a target force and a target moment:
under the condition of no load, the isolator and the mounting plate (4) are moved together along the X-axis direction of the coordinate system at a given acceleration a, and the equivalent force F in the X-axis direction is directly read by the double-flange pressure-torsion coupling sensor (5)x(ii) a At this time, the equivalent normal force F along the X-axis of the coordinate systemaWhen 0, the total mass of the separator is:
meanwhile, the equivalent moment M around the X coordinate axis direction is directly read through the double-flange pressure-torsion coupling sensor (5)xThe angular acceleration epsilon is calculated by measuring the rotating speed of the grinding motor (6) and carrying out differentiation; when the equivalent grinding torque T around the X axis of the coordinate system under the condition of no load is equal to 0, the equivalent inertia moments of the grinding tool (1), the coupling (2) and the grinding motor shaft (3) are as follows:
during grinding operation, the current acceleration a is calculated by measuring the speed of the isolator and the mounting plate (4) moving along the X-axis direction of the coordinate system in a differential mode, and then combined with FxAnd the total mass m of the separator, to obtain a target force:
Fa=-Fx-ma
the current angular acceleration epsilon is calculated by measuring the rotating speed of the grinding motor (6) and combining MxAnd the angular acceleration epsilon, the target moment is obtained:
T=-Mx-Iε。
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CN112318294A (en) * | 2020-11-23 | 2021-02-05 | 中机中联工程有限公司 | Controllable torque floating main shaft and control method |
CN112605888B (en) * | 2020-12-16 | 2022-03-08 | 河南科技大学 | Grinding force measuring method for cylindrical grinding of bearing ring |
CN113829222B (en) * | 2021-09-27 | 2023-01-17 | 西南交通大学 | Robot end polishing actuator and control method |
CN115319628A (en) * | 2022-10-13 | 2022-11-11 | 泰州市新龙翔金属制品有限公司 | Stainless steel product polishing device |
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CN204514630U (en) * | 2015-04-19 | 2015-07-29 | 北京工业大学 | A kind of numerically control grinder feed system reliability test |
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